Results 11 to 20 of about 4,640 (267)

On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications

Fractional Calculus and Applied Analysis
AbstractWe obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real ...
Nabil Chems Eddine, Maria Alessandra Ragusa, Dusan Repovš   +2 more
exaly   +7 more sources

Concentration-compactness results for systems in the Heisenberg group [PDF]

Opuscula Mathematica, 2020
In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal.
Patrizia Pucci, Letizia Temperini
doaj   +2 more sources

An abstract version of the concentration compactness principle

Revista Matemática Complutense, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schindler, I., Tintarev, K.
openaire   +5 more sources

Concentration-compactness principle for variable exponent spaces and applications [PDF]

Electronic Journal of Differential Equations, 2010
In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.
Julian Fernandez Bonder, Analia Silva
doaj   +2 more sources

Solutions of stationary Kirchhoff equations involving nonlocal operators with critical nonlinearity in RN

Nonlinear Analysis, 2017
In this paper, we consider the existence and multiplicity of solutions for fractional Schrödinger equations with critical nonlinearity in RN. We use the fractional version of Lions' second concentration-compactness principle and concentration-compactness
Ziwei Piao, Chenxing Zhou, Sihua Liang
doaj   +3 more sources

Existence of solutions for critical systems with variable exponents

Mathematical Modelling and Analysis, 2018
In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. Using a variant of concentration-compactness principle, we prove an existence result.
Hadjira Lalilia, Saadia Tas, Ali Djellit
doaj   +3 more sources

Concentration-compactness principles for Moser–Trudinger inequalities: new results and proofs

Annali Di Matematica Pura Ed Applicata, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert Černý, Andrea Cianchi, Stanislav Hencl   +2 more
exaly   +3 more sources

The Liouville Equation with Singular Data: A Concentration-Compactness Principle via a Local Representation Formula

Journal of Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARTOLUCCI, DANIELE, TARANTELLO, GABRIELLA   +1 more
openaire   +3 more sources

Concentration-compactness principle for nonlocal scalar field equations with critical growth

Journal of Mathematical Analysis and Applications, 2017
The aim of this paper is to study a concentration-compactness principle for homogeneous fractional Sobolev space $\mathcal{D}^{s,2} (\mathbb{R}^N)$ for ...
João Marcos Do Ó, Diego Ferraz
exaly   +3 more sources

Ground state solutions for asymptotically periodic Schrodinger equations with critical growth

Electronic Journal of Differential Equations, 2013
Using the Nehari manifold and the concentration compactness principle, we study the existence of ground state solutions for asymptotically periodic Schrodinger equations with critical growth.
Hui Zhang, Junxiang Xu, Fubao Zhang
doaj   +1 more source